Solve (6*10^-2)div(8*10^7)

$$( 6 \times 10 ^ { - 2 } ) \div ( 8 \times 10 ^ { 7 } )$$

Evaluate

$$\frac{3}{4000000000}=7.5 \cdot 10^{-10}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 10^{-2}}{4\times 10^{7}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{3}{4\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{3}{4\times 1000000000}$$

Multiply 4 and 1000000000 to get 4000000000.

$$\frac{3}{4000000000}$$

Factor

$$\frac{3}{2 ^ {11} \cdot 5 ^ {9}} = 7.5 \times 10^{-10}$$